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Simplifying -3j + 8j + -12 = 7j + 7 Reorder the terms: -12 + -3j + 8j = 7j + 7 Combine like terms: -3j + 8j = 5j -12 + 5j = 7j + 7 Reorder the terms: -12 + 5j = 7 + 7j Solving -12 + 5j = 7 + 7j Solving for variable 'j'. Move all terms containing j to the left, all other terms to the right. Add '-7j' to each side of the equation. -12 + 5j + -7j = 7 + 7j + -7j Combine like terms: 5j + -7j = -2j -12 + -2j = 7 + 7j + -7j Combine like terms: 7j + -7j = 0 -12 + -2j = 7 + 0 -12 + -2j = 7 Add '12' to each side of the equation. -12 + 12 + -2j = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -2j = 7 + 12 -2j = 7 + 12 Combine like terms: 7 + 12 = 19 -2j = 19 Divide each side by '-2'. j = -9.5 Simplifying j = -9.5
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